Math Problem Statement
Graph the line. y=3x
Solution
The equation given is . This is a linear equation in slope-intercept form, , where:
- is the slope of the line.
- is the y-intercept, meaning the line passes through the origin (0,0).
Steps to graph the line:
- Plot the y-intercept: The y-intercept is at (0,0).
- Use the slope: The slope means that for every 1 unit increase in , increases by 3 units. From the origin, go right 1 unit on the -axis and then move up 3 units to the point (1,3).
- Draw the line: After plotting these two points, draw a straight line through them.
Would you like me to provide more details or solve another question?
Here are 5 related questions to consider:
- What does the slope represent in a linear equation?
- How would the graph change if the slope was negative, for example ?
- How can you determine the slope and y-intercept from any given linear equation?
- How do you find the equation of a line from a graph?
- How does the equation change if the line is parallel to ?
Tip: A slope of 3 means the line rises 3 units vertically for every 1 unit it moves horizontally!
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Graphing
Formulas
Slope-intercept form: y = mx + b
Theorems
Slope formula
Suitable Grade Level
Grades 6-8